2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157203We prove that if a countable group $Γ$ contains a copy of $\Bbb F_2$, then it admits uncountably many non orbit equivalent actions.18 pages; the introduction and Section 4 have been rewrittenGroup TheoryOperator Algebras28D15, 46L10, 46L35Orbit inequivalent actions for groups containing a copy of $\Bbb F_2$text